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2 years ago

A woman has a total of $9,000 to invest. She invests part of the money in an account that pays 7 % per year and

Mathematics

1 answer:

Volgvan2 years ago

6 0

Answer:

Hi! I believe this is your answer:

$750

Step by step explanation:

interest + interest = total interest

0.08*x + 0.09*(9000-x) = 750 dollars

0.08x + 810 - 0.09x = 750

-0.01x = 750 - 810 = -60 ====> x = %28-60%29%2F%28-0.01%29 = 6000.

Final answer:

$6000 was invested at 8%. The rest 9000-6000 = 3000 dollars were invested at 9%.

Check. 0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.

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Simplify -2.3f+0.9f-14-4

Setler [38]

Answer:

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Step-by-step explanation:

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3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

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We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

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